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Class 7 Maths Worksheet: Lines and Angles

Maths worksheets lesson 52: Lines and angles · Set 83 · 40 sums
TalentJR

The method (90, 180, equal): Complement of a = 90 − a. Supplement of a = 180 − a. Lines crossing: vertically opposite angles are equal; a linear pair adds up to 180°. Parallel lines: corresponding angles equal, alternate interior angles equal, interior angles on the same side add up to 180°. One angle d° more than the other: bigger = (total + d) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two parallel lines are cut by a transversal. One interior angle is 118°. What is its alternate interior angle (in degrees)?
  2. 2.Two parallel lines are cut by a transversal. One angle is 97°. What is its corresponding angle (in degrees)?
  3. 3.What is the complement of 53° (in degrees)?
  4. 4.Two straight lines cross each other. One of the angles formed is 149°. What is the angle vertically opposite to it (in degrees)?
  5. 5.Are 20° and 160° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  6. 6.What is the complement of 84° (in degrees)?
  7. 7.Two parallel lines are cut by a transversal. One interior angle is 31°. What is its other interior angle on the same side of the transversal (in degrees)?
  8. 8.What is the complement of 28° (in degrees)?
  9. 9.Two angles are supplementary. One is 86° more than the other. What is the bigger angle (in degrees)?
  10. 10.What is the supplement of 158° (in degrees)?
  11. 11.Two straight lines cross each other. One of the angles formed is 150°. What is the angle vertically opposite to it (in degrees)?
  12. 12.What is the complement of 45° (in degrees)?
  13. 13.Are 51° and 129° complementary, supplementary or neither? (a) Neither (b) Supplementary (c) Complementary
  14. 14.Are 56° and 124° complementary, supplementary or neither? (a) Complementary (b) Supplementary (c) Neither
  15. 15.What is the complement of 31° (in degrees)?
  16. 16.Two angles are supplementary. One is 132° more than the other. What is the bigger angle (in degrees)?
  17. 17.What is the supplement of 24° (in degrees)?
  18. 18.Two parallel lines are cut by a transversal. One interior angle is 141°. What is its other interior angle on the same side of the transversal (in degrees)?
  19. 19.Two straight lines cross each other. One of the angles formed is 61°. What is the angle next to it on the same line (in degrees)?
  20. 20.What is the supplement of 143° (in degrees)?
  21. 21.Are 75° and 105° complementary, supplementary or neither? (a) Complementary (b) Neither (c) Supplementary
  22. 22.Two angles are complementary. One is 24° more than the other. What is the bigger angle (in degrees)?
  23. 23.Two angles are supplementary. One is 134° more than the other. What is the bigger angle (in degrees)?
  24. 24.What is the complement of 62° (in degrees)?
  25. 25.What is the supplement of 7° (in degrees)?
  26. 26.What is the complement of 32° (in degrees)?
  27. 27.Two angles are supplementary. One is 22° more than the other. What is the bigger angle (in degrees)?
  28. 28.What is the complement of 43° (in degrees)?
  29. 29.Two straight lines cross each other. One of the angles formed is 29°. What is the angle next to it on the same line (in degrees)?
  30. 30.Two straight lines cross each other. One of the angles formed is 137°. What is the angle next to it on the same line (in degrees)?
  31. 31.What is the complement of 25° (in degrees)?
  32. 32.Two parallel lines are cut by a transversal. One interior angle is 78°. What is its alternate interior angle (in degrees)?
  33. 33.Are 58° and 97° complementary, supplementary or neither? (a) Supplementary (b) Neither (c) Complementary
  34. 34.Two parallel lines are cut by a transversal. One angle is 57°. What is its corresponding angle (in degrees)?
  35. 35.Are 76° and 14° complementary, supplementary or neither? (a) Supplementary (b) Complementary (c) Neither
  36. 36.What is the supplement of 123° (in degrees)?
  37. 37.What is the complement of 85° (in degrees)?
  38. 38.Are 29° and 61° complementary, supplementary or neither? (a) Neither (b) Complementary (c) Supplementary
  39. 39.What is the complement of 48° (in degrees)?
  40. 40.What is the complement of 13° (in degrees)?

Answer key

  1. 118
  2. 97
  3. 37
  4. 149
  5. Supplementary
  6. 6
  7. 149
  8. 62
  9. 133
  10. 22
  11. 150
  12. 45
  13. Supplementary
  14. Supplementary
  15. 59
  16. 156
  17. 156
  18. 39
  19. 119
  20. 37
  21. Supplementary
  22. 57
  23. 157
  24. 28
  25. 173
  26. 58
  27. 101
  28. 47
  29. 151
  30. 43
  31. 65
  32. 78
  33. Neither
  34. 57
  35. Complementary
  36. 57
  37. 5
  38. Complementary
  39. 42
  40. 77

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